Least Common Multiple of 62 and 68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 62 and 68 the smallest integer that is 2108 that is divisible by both numbers.

Least Common Multiple (LCM) of 62 and 68 is 2108.

LCM(62,68) = 2108

LCM of 62 and 68

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 62 and 68

LCM of 62 and 68 is 2108

Least common multiple can be found by multiplying the highest exponent prime factors of 62 and 68. First we will calculate the prime factors of 62 and 68.

Prime Factorization of 62


2 62
31 31
1

Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:

62 = 21×311

Prime Factorization of 68


2 68
2 34
17 17
1

Prime factors of 68 are 2,17. Prime factorization of 68 in exponential form is:

68 = 22×171

Now multiplying the highest exponent prime factors to calculate the LCM of 62 and 68.

LCM(62,68) = 22×171×311
LCM(62,68) = 2108

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Least Common Multiple of 62 and 68 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62 and 68, than apply into the LCM equation.

GCF(62,68) = 2
LCM(62,68) = ( 62 × 68) / 2
LCM(62,68) = 4216 / 2
LCM(62,68) = 2108

Properties of LCM 62 and 68

(i) The LCM of 68 and 62 is associative

LCM of 62 and 68 = LCM of 68 and 62

Related Least Common Multiples of 62

Related Least Common Multiples of 68

Frequently Asked Questions on LCM of 62 and 68

1. What is the LCM of 62 and 68?

Answer: LCM of 62 and 68 is 2108.

2. What are the Factors of 62?

Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.

3. What are the Factors of 68?

Answer: Factors of 68 are 1, 2, 4, 17, 34, 68. There are 6 integers that are factors of 68. The greatest factor of 68 is 68.

4. How to Find the LCM of 62 and 68?

Answer:

Least Common Multiple of 62 and 68 = 2108

Step 1: Find the prime factorization of 62

62 = 2 x 31

Step 2: Find the prime factorization of 68

68 = 2 x 2 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2108 = 2 x 2 x 17 x 31

Step 4: Therefore, the least common multiple of 62 and 68 is 2108.